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Finding the Fourth Proportional to 277,341.70, 415,939.02 and 127,505.44

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Solution

The fourth proportional to 277,341.70, 415,939.02 and 127,505.44 is: 191,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,341.70 : 415,939.02 = 127,505.44 : x
  2. Step 2: Convert to fraction form
    277,341.70/415,939.02 = 127,505.44/x
  3. Step 3: Cross multiply
    277,341.70x = 415,939.02 × 127,505.44
  4. Step 4: Simplify right side
    277,341.70x = 53,034,487,758.27
  5. Step 5: Solve for x
    x = 53,034,487,758.27/277,341.70
  6. Step 6: Final answer
    x = 191,224.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.